3829234500 has 480 divisors, whose sum is σ = 15390735360. Its totient is φ = 807148800.

The previous prime is 3829234477. The next prime is 3829234543. The reversal of 3829234500 is 54329283.

3829234500 is a `hidden beast` number, since 38 + 2 + 92 + 34 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3684981 + ... + 3686019.

It is an arithmetic number, because the mean of its divisors is an integer number (32064032).

Almost surely, 2^3829234500 is an apocalyptic number.

3829234500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3829234500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695367680).

3829234500 is an abundant number, since it is smaller than the sum of its proper divisors (11561500860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3829234500 is a wasteful number, since it uses less digits than its factorization.

3829234500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3829234500 is about 61880.8088182435. The cubic root of 3829234500 is about 1564.4823011118.

The spelling of 3829234500 in words is "three billion, eight hundred twenty-nine million, two hundred thirty-four thousand, five hundred".